Cosmological special relativity : the large scale structure of space, time and velocity / Moshe Carmeli.

Format:

Book

Author/Creator:

Carmeli, Moshe, 1933-

Language:

English

Subjects (All):

Cosmology.

Special relativity (Physics).

Gravitational fields.

Space and time.

Physical Description:

1 online resource (225 p.)

Edition:

2nd ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2002.

Language Note:

English

Summary:

This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological g

Contents:

Contents; 1 Introduction; 1.1 Historical background; 1.2 Cosmology and special relativity; 1.3 References; 2 Cosmological Special Relativity; 2.1 Introduction; 2.2 Fundamentals of special relativity; 2.3 Present-day cosmology; 2.4 Postulates; 2.5 Cosmic frames; 2.6 Spacevelocity in cosmology; 2.7 Pre-special-relativity; 2.8 Relative cosmic time; 2.9 Inadequacy of the classical transformation; 2.10 Universe expansion versus light propagation; 2.11 The cosmological transformation; 2.12 Interpretation of the cosmological transformation; 2.13 Another derivation of the cosmological transformation

2.14 The galaxy cone2.15 Consequences of the cosmological transformation; 2.15.1 Classical limit; 2.15.2 Length contraction; 2.15.3 Velocity contraction; 2.15.4 Law of addition of cosmic times; 2.15.5 Inflation of the Universe; 2.15.6 Minimal acceleration in nature; 2.15.7 Cosmological redshift; 2.16 Concluding remarks; 2.17 References; 3 Extension of the Lorentz Group to Cosmology; 3.1 Preliminaries; 3.2 The line element; 3.3 The transformations explicitly; 3.4 The generalized transformation; 3.5 Concluding remarks; 3.6 References; 4 Fundamentals of Einstein's Special Relativity

4.1 Postulates of special relativity4.1.1 The principle of relativity. Constancy of the speed of light; 4.1.2 Coordinates; 4.1.3 Inertial coordinate system; 4.1.4 Simultaneity; 4.2 The Galilean transformation; 4.2.1 The Galilean group; 4.3 The Lorentz transformation; 4.3.1 Measuring rods and clocks; 4.3.2 Spatial coordinates and time; 4.3.3 Einstein's paradox; 4.3.4 Apparent incompatibility of the special relativity postulates; 4.3.5 Remark on action-at-a-distance; 4.3.6 Derivation of the Lorentz transformation; 4.3.7 The Lorentz group; 4.3.8 Problems

4.4 Consequences of the Lorentz transformation4.4.1 Nonrelativistic limit; 4.4.2 The Lorentz contraction of lengths; 4.4.3 The dilation of time; 4.4.4 The addition of velocities law; 4.4.5 Problems; 4.5 References; 5 Structure of Spacetime; 5.1 Special relativity as a valuable guide; 5.2 Four dimensions in classical mechanics; 5.3 The Minkowskian spacetime; 5.4 Proper time; 5.5 Velocity and acceleration four-vectors; 5.6 Problems; 5.7 References; 6 The Light Cone; 6.1 The light cone; 6.2 Events and coordinate systems; 6.3 Problems; 6.4 Future and past; 6.5 References

7 Mass Energy and Momentum7.1 Preliminaries; 7.2 Mass energy and momentum; 7.3 Angular-momentum representation; 7.4 Energy-momentum four-vector; 7.5 Problems; 7.6 References; 8 Velocity Acceleration and Cosmic Distances; 8.1 Preliminaries; 8.2 Velocity and acceleration four-vectors; 8.3 Acceleration and distances; 8.4 Energy in ESR versus cosmic distance in CSR; 8.5 Distance-velocity four-vector; 8.6 Conclusions; 8.7 References; 9 First Days of the Universe; 9.1 Preliminaries; 9.2 Lengths of days; 9.3 Comparison with Einstein's special relativity; 9.4 References

Appendix A Cosmological General Relativity

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611929732

9781281929730

1281929735

9789812777553

9812777555